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214628383998 = 232723149915731
BaseRepresentation
bin1100011111100011011…
…0010011110011111110
3202111222211011120212100
43013320312103303332
512004024331241443
6242333211045530
721335456106600
oct3077066236376
9674884146770
10214628383998
1183029144656
123571a7408a6
1317315b841b2
14a560c0d170
1558b28303d3
hex31f8d93cfe

214628383998 has 144 divisors (see below), whose sum is σ = 559555776000. Its totient is φ = 59221562400.

The previous prime is 214628383979. The next prime is 214628384027. The reversal of 214628383998 is 899383826412.

214628383998 is a `hidden beast` number, since 2 + 1 + 462 + 8 + 3 + 83 + 9 + 98 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13635793 + ... + 13651523.

It is an arithmetic number, because the mean of its divisors is an integer number (3885804000).

Almost surely, 2214628383998 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214628383998, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279777888000).

214628383998 is an abundant number, since it is smaller than the sum of its proper divisors (344927392002).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

214628383998 is a wasteful number, since it uses less digits than its factorization.

214628383998 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16283 (or 16273 counting only the distinct ones).

The product of its digits is 35831808, while the sum is 63.

The spelling of 214628383998 in words is "two hundred fourteen billion, six hundred twenty-eight million, three hundred eighty-three thousand, nine hundred ninety-eight".

Divisors: 1 2 3 6 7 9 14 18 21 31 42 49 62 63 93 98 126 147 186 217 279 294 434 441 499 558 651 882 998 1302 1497 1519 1953 2994 3038 3493 3906 4491 4557 6986 8982 9114 10479 13671 15469 15731 20958 24451 27342 30938 31437 31462 46407 47193 48902 62874 73353 92814 94386 108283 110117 139221 141579 146706 216566 220059 220234 278442 283158 324849 330351 440118 487661 649698 660702 757981 770819 974547 975322 991053 1462983 1515962 1541638 1949094 1982106 2273943 2312457 2925966 3413627 4388949 4547886 4624914 6821829 6827254 6937371 7849769 8777898 10240881 13643658 13874742 15699538 20481762 23549307 23895389 30722643 47098614 47790778 54948383 61445286 70647921 71686167 109896766 141295842 143372334 164845149 215058501 243342839 329690298 384638681 430117002 486685678 494535447 730028517 769277362 989070894 1153916043 1460057034 1703399873 2190085551 2307832086 3406799746 3461748129 4380171102 5110199619 6923496258 10220399238 11923799111 15330598857 23847598222 30661197714 35771397333 71542794666 107314191999 214628383998